Question

In the following exercises, simplify.

ⓐ $\sqrt{64}$ⓑ role="math" localid="1644932848517" $-\sqrt{81}$

Short answer

Part (a) $\Rightarrow \sqrt{64}=8$

Part (b)$-\sqrt{81}=-9$

Step-by-step solution

 Part (a) Step 1. Given information

ⓐ$\sqrt{64}$

simplify the given value.

Step 2. Explanation

Since $8^2=64$

$$\begin{gathered} \Rightarrow \sqrt{64}=\sqrt{{\left(8\right)}^2} \\ \Rightarrow 8 \end{gathered}$$

Step 3. part (b) Given information

ⓑ$-\sqrt{81}$

To simplify.

Step 4. Explanation

Since $9^2=81$the negative is in front of the radical sign.

localid="1644933055554" $$\begin{gathered} \Rightarrow -\sqrt{81}=-\sqrt{{\left(9\right)}^2} \\ \Rightarrow -9 \end{gathered}$$